Hmmm. Here’s the Bacardi ad from the Constante-cover version I’ve got access to:
And here’s the one from the Cuna del Daiquiri version:
That’s what I was thinking about nationalization. Also, the words “Cuna del Daiquiri” were added in steel on the ice chests behind the bar sometime around the late 1950s, from what I can tell (I could be wrong). That seems to tie in with the cover.